460890274321 has 9 divisors (see below), whose sum is σ = 486437975433. Its totient is φ = 436620671460.

The previous prime is 460890274297. The next prime is 460890274331. The reversal of 460890274321 is 123472098064.

It is a happy number.

The square root of 460890274321 is 678889.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 460890274321 - 2⁷ = 460890274193 is a prime.

It is a super-3 number, since 3×460890274321³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (460890274331) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12881026 + ... + 12916756.

It is an arithmetic number, because the mean of its divisors is an integer number (54048663937).

Almost surely, 2^460890274321 is an apocalyptic number.

460890274321 is the 678889-th square number.

460890274321 is the 339445-th centered octagonal number.

It is an amenable number.

460890274321 is a deficient number, since it is larger than the sum of its proper divisors (25547701112).

460890274321 is an frugal number, since it uses more digits than its factorization.

460890274321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71500 (or 35750 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 460890274321 in words is "four hundred sixty billion, eight hundred ninety million, two hundred seventy-four thousand, three hundred twenty-one".